Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bv |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-140183684819972820 = -1 · 22 · 38 · 5 · 132 · 436 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,117517,-9197913] |
[a1,a2,a3,a4,a6] |
Generators |
[1635:66648:1] |
Generators of the group modulo torsion |
j |
246207759969363479/192295863950580 |
j-invariant |
L |
10.4248188877 |
L(r)(E,1)/r! |
Ω |
0.18211686913215 |
Real period |
R |
7.1553083861584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770b2 |
Quadratic twists by: -3 |